Write an equation of the line passing through the point (-1, 1) that is parallel to the line y = 2x - 3

Question

Having trouble with writing these equations :(

Answer 1

Parallel lines have the same slope.

The slope of the line y = 2x - 3 is 2 (it is in slope-intercept form y = mx + b, where m is the slope).

Now you have a choice as how to write the equation of a line passing through (-1, 1) with a slope of 2.

Use point-slope:

y - (1) = 2(x - (-1))

y- 1= 2x+2

y = 2x+3

OR

Use y = mx + b, solving for b:

1 = 2(-1) + b

1 = -2 + b

b = 3

so

y = 2x +3

Here is a Desmos graph for confirmation:

desmos.com/calculator/kzjtyhimv4